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Finding the Third Proportional to 57.27 and 85.90

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Solution

The third proportional to 57.27 and 85.90 is: 128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.27 : 85.90 = 85.90 : x
  2. Step 2: Convert to fraction form
    57.27/85.90 = 85.90/x
  3. Step 3: Cross multiply
    57.27x = 85.90 × 85.90
  4. Step 4: Simplify right side
    57.27x = 7,379.55
  5. Step 5: Solve for x
    x = 7,379.55/57.27
  6. Step 6: Final answer
    x = 128.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.